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311212022111300 = 2252236716087125539
BaseRepresentation
bin100011011000010111011001…
…0000001110001110001000100
31111210220120121220121111000102
41012300232302001301301010
5311242344210130030200
63021520455041303232
7122360220012115532
oct10660566201616104
91453816556544012
10311212022111300
1190186306223802
122aaa2b84634b18
1310486224751c5b
1456bca569c5152
1525ea513b296d5
hex11b0bb2071c44

311212022111300 has 144 divisors (see below), whose sum is σ = 715260217082880. Its totient is φ = 117286999885440.

The previous prime is 311212022111297. The next prime is 311212022111311. The reversal of 311212022111300 is 3111220212113.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2478943931 + ... + 2479069469.

Almost surely, 2311212022111300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311212022111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357630108541440).

311212022111300 is an abundant number, since it is smaller than the sum of its proper divisors (404048194971580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311212022111300 is a wasteful number, since it uses less digits than its factorization.

311212022111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141730 (or 141723 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 311212022111300 its reverse (3111220212113), we get a palindrome (314323242323413).

The spelling of 311212022111300 in words is "three hundred eleven trillion, two hundred twelve billion, twenty-two million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 67 92 100 115 134 230 268 335 460 575 670 1150 1340 1541 1675 2300 3082 3350 6164 6700 7705 15410 16087 30820 32174 38525 64348 77050 80435 125539 154100 160870 251078 321740 370001 402175 502156 627695 740002 804350 1077829 1255390 1480004 1608700 1850005 2155658 2510780 2887397 3138475 3700010 4311316 5389145 5774794 6276950 7400020 8411113 9250025 10778290 11549588 12553900 14436985 16822226 18500050 21556580 24790067 26945725 28873970 33644452 37000100 42055565 49580134 53891450 57747940 72184925 84111130 99160268 107782900 123950335 144369850 168222260 193455599 210277825 247900670 288739700 386911198 420555650 495801340 619751675 773822396 841111300 967277995 1239503350 1934555990 2019545893 2479006700 3869111980 4039091786 4836389975 8078183572 9672779950 10097729465 19345559900 20195458930 40390917860 46449555539 50488647325 92899111078 100977294650 135309574831 185798222156 201954589300 232247777695 270619149662 464495555390 541238299324 676547874155 928991110780 1161238888475 1353095748310 2322477776950 2706191496620 3112120221113 3382739370775 4644955553900 6224240442226 6765478741550 12448480884452 13530957483100 15560601105565 31121202211130 62242404422260 77803005527825 155606011055650 311212022111300